2.52 is what percent of 86.38 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 86.38 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 86.38, so we can write it down as 100%=86.38.
4. We know, that x% equals 2.52 of the output value, so we can write it down as x%=2.52.
5. Now we have two simple equations:
1) 100%=86.38
2) x%=2.52
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=86.38/2.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.52 is what percent of 86.38

100%/x%=86.38/2.52
(100/x)*x=(86.38/2.52)*x       - we multiply both sides of the equation by x
100=34.277777777778*x       - we divide both sides of the equation by (34.277777777778) to get x
100/34.277777777778=x
2.9173419773096=x
x=2.9173419773096

now we have:
2.52 is 2.9173419773096% of 86.38